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Simplifying 2(x + 50) + -6 = 0.4(3x + 20) Reorder the terms: 2(50 + x) + -6 = 0.4(3x + 20) (50 * 2 + x * 2) + -6 = 0.4(3x + 20) (100 + 2x) + -6 = 0.4(3x + 20) Reorder the terms: 100 + -6 + 2x = 0.4(3x + 20) Combine like terms: 100 + -6 = 94 94 + 2x = 0.4(3x + 20) Reorder the terms: 94 + 2x = 0.4(20 + 3x) 94 + 2x = (20 * 0.4 + 3x * 0.4) 94 + 2x = (8 + 1.2x) Solving 94 + 2x = 8 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 94 + 2x + -1.2x = 8 + 1.2x + -1.2x Combine like terms: 2x + -1.2x = 0.8x 94 + 0.8x = 8 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 94 + 0.8x = 8 + 0.0 94 + 0.8x = 8 Add '-94' to each side of the equation. 94 + -94 + 0.8x = 8 + -94 Combine like terms: 94 + -94 = 0 0 + 0.8x = 8 + -94 0.8x = 8 + -94 Combine like terms: 8 + -94 = -86 0.8x = -86 Divide each side by '0.8'. x = -107.5 Simplifying x = -107.5
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